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Self-organization in systems of self-propelled particles

2000; American Physical Society; Volume: 63; Issue: 1 Linguagem: Inglês

10.1103/physreve.63.017101

1538-4519

Herbert Levine, Wouter‐Jan Rappel, Inon Cohen,

Diffusion and Search Dynamics

We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions. In one-dimension, the self-organized solution is a localized flock of finite extent in which the density abruptly drops to zero at the edges. In two-dimensions, we focus on the vortex solution in which the particles rotate around a common center and show that this solution can be obtained from random initial conditions, even in the absence of a confining boundary. Furthermore, we develop a continuum version of our discrete model and demonstrate that the agreement between the discrete and the continuum model is excellent.